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The specific resistance of a wire is rho...

The specific resistance of a wire is `rho`, its volume is `3 m^(3)` and its resistance is `3 ohms`, then its length will be

A

`sqrt(1//rho)`

B

`3//sqrt(rho)`

C

`sqrt(3)//rho`

D

`rho//sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`R=(rho l)/(A) =(rho l)/(V//l) =(rho l^(2))/(V)`
or `l=((RV)/(rho))^(1//2) =((3xx3)/(rho))^(1//2) = (3)/(sqrt(rho))`
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